To determine how much Gerald will pay each month towards his health insurance after adding the dental and vision options, we need to calculate the contributions from both Gerald and his employer for each type of insurance.
1. Health Insurance Contribution:
- Monthly Premium: $345
- Employer Contribution: 65% of $345
Gerald's Contribution: \[ \text{Gerald's Contribution for Health Insurance} = 345 \times (1 - 0.65) = 345 \times 0.35 = 120.75 \]
2. Dental Insurance Contribution:
- Monthly Premium: $38
- Employer Contribution: 50% of $38
Gerald's Contribution: \[ \text{Gerald's Contribution for Dental} = 38 \times (1 - 0.50) = 38 \times 0.50 = 19.00 \]
3. Vision Insurance Contribution:
- Monthly Premium: $23
- Employer Contribution: 75% of $23
Gerald's Contribution: \[ \text{Gerald's Contribution for Vision} = 23 \times (1 - 0.75) = 23 \times 0.25 = 5.75 \]
Total Contribution:
Now, we add up all of Gerald's contributions:
\[ \text{Total Monthly Payment} = \text{Gerald's Contribution for Health} + \text{Gerald's Contribution for Dental} + \text{Gerald's Contribution for Vision} \]
\[ \text{Total Monthly Payment} = 120.75 + 19.00 + 5.75 = 145.50 \]
Thus, the total amount Gerald will pay each month towards health insurance is $145.50.
The correct answer is b. $145.50.